Application of the Pick Function in the Lieb Concavity Theorem for Deformed Exponentials

Guozeng Yang, Yonggang Li, Jing Wang, Huafei Sun
2021 Fractal and Fractional  
The Lieb concavity theorem, successfully solved in the Wigner–Yanase–Dyson conjecture, is an important application of matrix concave functions. Recently, the Thompson–Golden theorem, a corollary of the Lieb concavity theorem, was extended to deformed exponentials. Hence, it is worthwhile to study the Lieb concavity theorem for deformed exponentials. In this paper, the Pick function is used to obtain a generalization of the Lieb concavity theorem for deformed exponentials, and some corollaries associated with exterior algebra are obtained.
doi:10.3390/fractalfract6010020 fatcat:a66nyowfsjgujpw3tyamzxhwce